On randomized counting versus randomised decision

Eleni Bakali

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arXiv · 1801.01901

On randomized counting versus randomised decision

Eleni Bakali

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Abstract

We study the question of which counting problems admit f.p.r.a.s., under a structural complexity perspective. Since problems in #P with NP-complete decision version do not admit f.p.r.a.s. (unless NP = RP), we study subclasses of #P, having decision version either in P or in RP. We explore inclusions between these subclasses and we present all possible worlds with respect to NP v.s. RP and RP v.s. P.

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Eleni Bakali. 2018-01-05. On randomized counting versus randomised decision. https://arxiv.org/abs/1801.01901

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